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keisanHigh-precision calculations for everyday life and work

Test accuracy

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Calculate the test’s accuracy (sensitivity, specificity, false positive rate, false negative rate, positive predictive value, negative predictive value, and prevalence).
Disease present
People
(Test result: positive)People
  --------------------------------------------------------------------
  No disease
People
(Test result: negative)People

Formulas

 








Disease presentDisease absent Total
Test positiveaba+b
Test negativecdc+d
Totala+cb+da+b+c+d





  • Sensitivity(Sensitivity) = a/(a+c)

  • Specificity(Specificity) = d/(b+d)

  • False negative rate(False negative rate:FNR) = c/(a+c)

  • False positive rate(False positive rate :FPR) = b/(b+d)

  • Positive predictive value(Positive predictive value:PPV) = a/(a+b)

  • Negative predictive value(Negative predictive value:NPV) = d/(c+d)

  • Prevalence(Prevalence) = (a+c)/(a+b+c+d)



Each indicator is calculated by rounding at the fourth decimal place (to three decimal places).

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